Unit Test — Unit test Answers

A student factors 10x2 + 3x – 27 to the following. (2x – 3)(5x + 9) Which statement about (2x – 3)(5x + 9) is true?

Which expression represents the sixth term in the binomial expansion of (5y + 3)10?

The volume of a rectangular prism is (x4 + 4x3 + 3x2 + 8x + 4), and the area of its base is (x3 + 3x2 + 8). If the volume of a rectangular prism is the product of its base area and height, what is the height of the prism?

What is the fifth term in the binomial expansion of (x + 5)8?

What is the missing coefficient? =

A 5 inch × 7 inch photograph is placed inside a picture frame. Both the length and width of the frame are 2a inches larger than the width and length of the photograph. Which expression represents the perimeter of the frame?

Vanessa uses the expressions (3x2 + 5x + 10) and (x2 – 3x – 1) to represent the length and width of her patio. Which expression represents the area (lw) of Vanessa’s patio?

What is the product?

What is the quotient of (x3 – 3x2 + 3x – 2) ÷ (x2 – x + 1)?

What is the completely factored form of x2 – 16xy + 64y2?

Which statement about the simplified binomial expansion of (a – b)n, where a, b and n are positive integers, is true?

What is the remainder when (x4 + 36) is divided by (x2 – 8)?

The side length, s, of a cube is x – 2y. If V = s3, what is the volume of the cube?

What is the difference of the polynomials?

The volume of a cylinder is given by the formula , where r is the radius of the cylinder and h is the height. Suppose a cylindrical can has radius (x + 8) and height (2x + 3). Which expression represents the volume of the can?

What expression is equivalent to ?

Which statement about –2h2 – 15h – 7 is true?

What is the completely factored form of p4 – 16?

Which expression is equivalent to ?

Randy divides (2x4 – 3x3 – 3x2 + 7x – 3) by (x2 – 2x + 1) as shown below. What error does Randy make?